Center of population of Ruskin, FL

What each mark means

Mean center: Where the place would balance if every resident weighed the same.; How it's computed

Picture a stiff, weightless map of Ruskin, FL with every resident standing at home, everyone weighing the same. The point where the map balances is the mean center.

Latitude and longitude are averaged separately. For latitude: take every populated 2020 census block in the place, multiply its population by the latitude of its center point, add up those products, and divide by the total population. That is the mean latitude. The mean longitude is a weighted average of the longitudes, using each point's population times the cosine of its latitude as the weight — a degree of longitude spans less ground the farther it sits from the equator, and the cosine accounts for that shrinkage. Those two averages together are the mean center.

Distance matters here. A community far to the north pulls the point north in proportion to both its population and how far away it is.
Median center: Half the population lives north of this point and half south; half east and half west.; How it's computed

Latitude and longitude are computed separately here too. For latitude: sort every populated 2020 census block from south to north and add up population as you go. The latitude where the running total first reaches half the place's population is the median latitude. Repeat from west to east for the median longitude. The two lines cross at the median center.

Distance does not matter here, only which side of the line each person lives on. A faraway community shifts the median no more than a nearby one, which is what makes it different from the mean.
Geographic center: Where the place would balance if it were made of cardboard.; How it's computed

Cut the place's outline out of cardboard and the empty cutout balances at the geographic center. It is computed from the boundary shape alone. Population plays no part, so for a lopsided place it can sit far from where most people live.

Why the median center is a band

A census block reports a total. It does not say where inside it those people live. Place everyone in each census block at its southern edge and the median line falls as far south as the data permits. Place them at the northern edge and it falls as far north. Any line between the two could be the true median. East and west work the same way. The band covers that range.

We weigh over 2020 census blocks when an area holds at most 25,000 of them, and over census tracts above that. Tracts are larger than blocks, so weighing over tracts gives a wider band. The width reflects the size of the weighing unit, not the distribution of people.

Where people are counted from

Every populated 2020 census block whose center falls inside Ruskin, FL contributes its center point and its 2020 census population. The centers above are computed from those units and nothing else.

Units weighed: 332 2020 census blocks
Population weighed: 28,582
Mean center: 27.71434, -82.42521
Median center: 27.71846, -82.42485
Geographic center: 27.70647, -82.4209